Area of Parallelogram given Heights and Acute Angle Calculator

Calculate Area of Parallelogram







Formula

The formula to calculate Area of Parallelogram (A) is:

\[ A = \frac{hLong \cdot hShort}{\sin(\angle Acute)} \]

Where:

Definition

The Area of Parallelogram is the total quantity of plane enclosed by the boundary of the Parallelogram.

The Height to Long Edge of Parallelogram is the perpendicular distance between the longest pair of parallel edges of a Parallelogram.

The Height to Short Edge of Parallelogram is the perpendicular distance between the shortest pair of parallel edges of a Parallelogram.

The Acute Angle of Parallelogram is the measure of a pair of opposite angles which are less than 90 degrees in a Parallelogram.

How to calculate Area of Parallelogram given Heights and Acute Angle

Let's assume the following values:

Using the formula:

\[ A = \frac{hLong \cdot hShort}{\sin(\angle Acute)} \]

Evaluating:

\[ A = \frac{5 \cdot 8}{\sin(0.785398163397301)} \]

The Area of Parallelogram is 56.5685424949321.

Area of Parallelogram Conversion Chart

Height to Long Edge of Parallelogram (hLong) Height to Short Edge of Parallelogram (hShort) Acute Angle of Parallelogram (∠Acute) Area of Parallelogram (A)
4 7 0.7 43.463569154798911
4 7 0.8 39.032218942881819
4 7 0.9 35.744973976849074
4 7.5 0.7 46.568109808713118
4 7.5 0.8 41.820234581659093
4 7.5 0.9 38.298186403766870
4 8 0.7 49.672650462627331
4 8 0.8 44.608250220436361
4 8 0.9 40.851398830684658
4 8.5 0.7 52.777191116541537
4 8.5 0.8 47.396265859213635
4 8.5 0.9 43.404611257602454
4 9 0.7 55.881731770455744
4 9 0.8 50.184281497990909
4 9 0.9 45.957823684520243
4.5 7 0.7 48.896515299148774
4.5 7 0.8 43.911246310742044
4.5 7 0.9 40.213095723955213
4.5 7.5 0.7 52.389123534802259
4.5 7.5 0.8 47.047763904366477
4.5 7.5 0.9 43.085459704237728
4.5 8 0.7 55.881731770455744
4.5 8 0.8 50.184281497990909
4.5 8 0.9 45.957823684520243
4.5 8.5 0.7 59.374340006109229
4.5 8.5 0.8 53.320799091615342
4.5 8.5 0.9 48.830187664802757
4.5 9 0.7 62.866948241762714
4.5 9 0.8 56.457316685239775
4.5 9 0.9 51.702551645085272
5 7 0.7 54.329461443498637
5 7 0.8 48.790273678602269
5 7 0.9 44.681217471061345
5 7.5 0.7 58.210137260891401
5 7.5 0.8 52.275293227073860
5 7.5 0.9 47.872733004708586
5 8 0.7 62.090813078284157
5 8 0.8 55.760312775545451
5 8 0.9 51.064248538355827
5 8.5 0.7 65.971488895676913
5 8.5 0.8 59.245332324017042
5 8.5 0.9 54.255764072003068
5 9 0.7 69.852164713069683
5 9 0.8 62.730351872488633
5 9 0.9 57.447279605650301
5.5 7 0.7 59.762407587848507
5.5 7 0.8 53.669301046462500
5.5 7 0.9 49.149339218167484
5.5 7.5 0.7 64.031150986980535
5.5 7.5 0.8 57.502822549781250
5.5 7.5 0.9 52.660006305179444
5.5 8 0.7 68.299894386112570
5.5 8 0.8 61.336344053099999
5.5 8 0.9 56.170673392191411
5.5 8.5 0.7 72.568637785244618
5.5 8.5 0.8 65.169865556418742
5.5 8.5 0.9 59.681340479203371
5.5 9 0.7 76.837381184376653
5.5 9 0.8 69.003387059737491
5.5 9 0.9 63.192007566215331
6 7 0.7 65.195353732198370
6 7 0.8 58.548328414322725
6 7 0.9 53.617460965273615
6 7.5 0.7 69.852164713069683
6 7.5 0.8 62.730351872488633
6 7.5 0.9 57.447279605650301
6 8 0.7 74.508975693940997
6 8 0.8 66.912375330654541
6 8 0.9 61.277098246026988
6 8.5 0.7 79.165786674812310
6 8.5 0.8 71.094398788820456
6 8.5 0.9 65.106916886403681
6 9 0.7 83.822597655683623
6 9 0.8 75.276422246986357
6 9 0.9 68.936735526780367